46. For a single item inventory system, the demand is continuous, which is 10000 per year. The replacement is instantaneous and backorders (S units) per cycle are allowed as shown in the figure. Inventory Time M As soon as the quantity (Q units) ordered from the supplier is received, the backordered quantity is issued to the customers. The ordering cost is Rs. 300 per order. The carrying cost is Rs. 4 per unit per year. The cost of backordering is Rs. 25 per unit per year. Based on the total cost minimization criteria, the maximum inventory reached in the system is (round off to nearest integer). 47. A helical spring has spring constant k. If the wire diameter, spring diameter and the number of coils are all doubled then the spring constant of the new spring becomes (A) k/2 (B) k (C) 16k (D) 8k 48. A mould cavity of 1200 cm volume has to be filled through a sprue of 10 cm length feeding a horizontal runner. Cross-sectional area at the base of the sprue is 2 cm. Consider acceleration due to gravity as 9.81 m/s. Neglecting frictional losses due to molten metal flow, the time taken to fill the mould cavity is seconds (round off to 2 decimal places).